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Simplifying (13x + -11) + (4x + 1) = (18x + -15) Reorder the terms: (-11 + 13x) + (4x + 1) = (18x + -15) Remove parenthesis around (-11 + 13x) -11 + 13x + (4x + 1) = (18x + -15) Reorder the terms: -11 + 13x + (1 + 4x) = (18x + -15) Remove parenthesis around (1 + 4x) -11 + 13x + 1 + 4x = (18x + -15) Reorder the terms: -11 + 1 + 13x + 4x = (18x + -15) Combine like terms: -11 + 1 = -10 -10 + 13x + 4x = (18x + -15) Combine like terms: 13x + 4x = 17x -10 + 17x = (18x + -15) Reorder the terms: -10 + 17x = (-15 + 18x) Remove parenthesis around (-15 + 18x) -10 + 17x = -15 + 18x Solving -10 + 17x = -15 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -10 + 17x + -18x = -15 + 18x + -18x Combine like terms: 17x + -18x = -1x -10 + -1x = -15 + 18x + -18x Combine like terms: 18x + -18x = 0 -10 + -1x = -15 + 0 -10 + -1x = -15 Add '10' to each side of the equation. -10 + 10 + -1x = -15 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -15 + 10 -1x = -15 + 10 Combine like terms: -15 + 10 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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